(x-5)(x-5)=144

Simple and best practice solution for (x-5)(x-5)=144 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x-5)(x-5)=144 equation: 


Simplifying
(x + -5)(x + -5) = 144

Reorder the terms:
(-5 + x)(x + -5) = 144

Reorder the terms:
(-5 + x)(-5 + x) = 144

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) = 144
((-5 * -5 + x * -5) + x(-5 + x)) = 144
((25 + -5x) + x(-5 + x)) = 144
(25 + -5x + (-5 * x + x * x)) = 144
(25 + -5x + (-5x + x2)) = 144

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) = 144

Solving
25 + -10x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
25 + -144 + -10x + x2 = 144 + -144

Combine like terms: 25 + -144 = -119
-119 + -10x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-119 + -10x + x2 = 0

Factor a trinomial.
(-7 + -1x)(17 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-7, 17}

See similar equations:

| -7(x-3)-22=-1 | | -3x+(x*x)= | | 2x+.50=1 | | -x^2+2x+1520=0 | | 15t^2-33t-36=0 | | 2x^2-8=55-x^2 | | (x+8)=c | | x^2-3=-10x | | 4(x+7)=7+4x+27 | | -121=-1+12x | | x^5+2x^4-2x^3-5x^2+2x+4=0 | | X+2x+x+10=78 | | 5x-14=8x+19 | | x^2-48x-40=0 | | 5x+63=9(x+7)-4x | | 5(2n+2)=9(8n+8)+1 | | 2(3x+1)=2(y+9) | | 0.2(x-8)=7 | | 6x^2+36x+10=0 | | g(5)=x^2-4 | | 2*x+3=.5+12 | | 3x-4x=-19 | | cx+by=d | | 3x-5x=-19 | | 0=w^2+4w-480 | | c=qn+qforn | | 7.8x+0.2(x-4)=-16.8 | | 5w+44=2w+8+6 | | 3.5+10m=4.72 | | 3(x+4)=2(6-x) | | 5+-3t=32 | | 7(4.73)+8(4.73)-12=? |

Equations solver categories